H = cost of horseback riding per hr, p = cost of parasailing per hr
3h + 2p = 192...multiply by 2
2h + 3p = 213..multiply by -3
------------------
6h + 4p = 384 (result of multiplying by 2)
-6h - 9p = - 639 (result of multiplying by -3)
-----------------add
-5p = - 255
p = -255/-5
p = 51 <== cost of 1 hr for parasailing
3h + 2p = 192
3h + 2(51) = 192
3h + 102 = 192
3h = 192 - 102
3h = 90
h = 90/3
h = 30 <== cost of 1 hr of horseback riding
The interval of filled bags is at confidence interval of 95%.
At 95% confidence interval, Z=1.96 (from Z tables).
But,
Z= (x-mean)/sd => 1.96 = (x-450)/20 => x (upper limit)= 20*1.96+450489 bags
Lower limit or minimum number bags to avoid replace= 450-1.96*20 =411 bags
This problem involves the use of a kinematic equation since it involves the motion of an object. The equation for the height of the object is given as:
s = -<span>16*t^2+v_o*t
Also, the initial velocity, v_o, was also said to be equal to 128 ft/s.
For the first question, </span><span>the time(s) that the projectile will reach a height of 240 ft when v_o is 128 feet per second, can be solved using the given equation and the quadratic formula. The resulting quadratic equation is then </span>-16*t^2 + 128*t -240 =0, where a =16, b =128, and c =-240. The quadratic formula is equal to [-b <span>± sqrt(b^2 -4ac)]/2a. This gives two answers t = 3 seconds and t = 5 seconds. This might be because the projectile has a parabolic path, thus, it reaches the height of 240 ft, before and after it reaches a peak.
For the second question, the time it takes for the projectile to reach the ground is obtained by setting the distance, s, equal to zero. In this case, t = 8 seconds.</span>
Answer:
y = - 
x - 7
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m of the given line using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line
m = 
= - , thus
y = - x + c ← is the partial equation
To find c substitute P(- 3, - 3) into the partial equation
- 3 = 4 + c ⇒ c = - 3 - 4 = - 7
y = - x - 7 ← equation of parallel line
Answer:
6
Step-by-step explanation:
scale factor is 0.25
so
∴ x = 1.5 ÷ 0.25 = 6
